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Finding the Fourth Proportional to 4,707.12, 7,060.74 and 1,197.06

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Solution

The fourth proportional to 4,707.12, 7,060.74 and 1,197.06 is: 1,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.12 : 7,060.74 = 1,197.06 : x
  2. Step 2: Convert to fraction form
    4,707.12/7,060.74 = 1,197.06/x
  3. Step 3: Cross multiply
    4,707.12x = 7,060.74 × 1,197.06
  4. Step 4: Simplify right side
    4,707.12x = 8,452,129.42
  5. Step 5: Solve for x
    x = 8,452,129.42/4,707.12
  6. Step 6: Final answer
    x = 1,795.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.